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Finding the Fourth Proportional to 3,492.60, 5,230.80 and 2,180.40

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Solution

The fourth proportional to 3,492.60, 5,230.80 and 2,180.40 is: 3,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.60 : 5,230.80 = 2,180.40 : x
  2. Step 2: Convert to fraction form
    3,492.60/5,230.80 = 2,180.40/x
  3. Step 3: Cross multiply
    3,492.60x = 5,230.80 × 2,180.40
  4. Step 4: Simplify right side
    3,492.60x = 11,405,236.32
  5. Step 5: Solve for x
    x = 11,405,236.32/3,492.60
  6. Step 6: Final answer
    x = 3,265.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.